On geometric interpretations of split quaternions

DOI10.1002/mma.8518MaRDI QIDQ6141845

Mustafa Özdemir, İskender Öztürk

Publication date: 20 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

quaternionsLorentzian geometrysplit quaternionscoquaternionsnon-Euclidean rotations

Mathematics Subject Classification ID

Structure and representation of the Lorentz group (22E43) Clifford algebras, spinors (15A66) Non-Euclidean differential geometry (53A35) Applications of Clifford algebras to physics, etc. (15A67)

Cites Work

• Unnamed Item
• On reflections and rotations in Minkowski 3-space
• On rotation about lightlike axis in three-dimensional Minkowski space
• An alternative approach to elliptical motion
• Relativistic quantum physics with hyperbolic numbers
• One-parameter planar motions in generalized complex number plane \({\mathbb{C}_{J}}\)
• The roots of a split quaternion
• Elliptic motion on dual hyperbolic unit sphere \({\widetilde{\mathbb H}}_0^2\)
• Timelike surfaces of constant mean curvature in Minkowski 3-space
• Introduction to hybrid numbers
• On angles and pseudo-angles in Minkowskian planes
• Hyper-dual split quaternions and rigid body motion
• Rotations with unit time-like quaternions in Minkowski 3-space
• Rethinking Quaternions
• Geometry of Möbius Transformations
• Geometry of Generalized Complex Numbers
• On geometric applications of quaternions
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂
• Generating hyperbolical rotation matrix for a given hyperboloid

This page was built for publication: On geometric interpretations of split quaternions